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Downloads
Views
Date
Relevance
Potential Scenario
137
views
37
downloads
0
comments
2014-Danielsen-Sørensen-Using authentic sources in teaching logistic growth
This 12 page offering develops issues and questions about using historical materials to motivate mathematics study and develops 9 very rich exercises
real data
logistic
historical materials
Potential Scenario
111
views
46
downloads
0
comments
2005-HP-Hirst-Using the Historical Development of Predator-Prey Models to Teach Mathematical Modeling
Using the Historical Development of Predator-Prey Models to Teach Mathematical Modeling.
predator-prey
history
Modeling Scenario
311
views
37
downloads
0
comments
1-018-LogisticPopModel-ModelingScenario
We offer artificial (toy) and historical data on limited growth population situations in the study of protozoa and lead students through several approaches to estimating parameters and determining the validity of the logistic model in these...
data analysis
parameter estimation
logistic
Ciliate protozoa
population
limited growth
paramecia
Gause
Potential Scenario
140
views
55
downloads
0
comments
2016-Lewnard-Townsend-Climatic and evolutionary drivers of phase shifts in the plague epidemics of colonial India
Our analysis shows that historical datasets can yield powerful insights into the transmission dynamics of reemerging disease agents with which we have limited contemporary experience to guide quantitative modeling and inference.
infectious disease
p
Vector-Borne Disease
lague
plague
Article or Presentation
241
views
526
downloads
0
comments
2020-TeachingModule-ModelingNonlethalInfluenzaEpidemic
We discuss the modeling efforts and tools for success in modeling the spread of nonlethal influenza in an English boarding school
module
epidemic
boarding school
Teaching Module
Modeling Scenario
364
views
264
downloads
0
comments
6-040-StruggleForExistence-ModelingScenario
We use historical data from the 1930's in the Soviet Union and model competition between two species of yeast after modeling each species separately and estimate parameters
competition
logistic
carrying capacity
paramecium
Article or Presentation
134
views
53
downloads
0
comments
2001-A_Tsoularis-Analysis_of_logistic_growth_models
The paper presents an historical development of the logistic equation in its various forms, including Verhulst, Pearl and Reed, Gompertz, Bertalanffy, Richards, and others.
logistic
population
growth curve
limited growth
Gompertz
history
logistic equation
Verhulst
Pearl and Reed
Bertalanffy
Richards
Modeling Scenario
288
views
234
downloads
0
comments
1-078-MonodGrowthModel-ModelingScenario
Students model growth of bacteria E. coli in a limiting nutrient environment using data from a historical study.
bacteria
nutrient cycles
growth
Monod
consumption
Potential Scenario
130
views
56
downloads
0
comments
2001-Tsoularis-Analysis of logistic growth models
variety of growth curves have been developed to model both unpredated, intraspecific population dynamics and more general biological growth. We further review and compare several such models.
logistic
Gompertz
Verhulst
Pearl and Reed
Bertalanffy
Article or Presentation
506
views
100
downloads
0
comments
2007-John_Jungck-Ten_Equations_that_Changed_Biology-Mathematics_in_Problem-Solving_Biology_Curricula The author
These equations were selected upon the basis of wide-spread recognition of the value of the models.
biology
equations
ten equations
Potential Scenario
152
views
64
downloads
0
comments
2017-Anders_Kallen-Single species models in continuous time
Part of a series of Lecture notes this lecture contains rich materials on logistic harvest models, spruce budworms, and chemostat.
chemostat
logistic
harvest
spruce budworm
Potential Scenario
133
views
56
downloads
0
comments
2017-ASHP-Intro to Pharmacokinetics and Pharmacodynamics
This is the introductory Lesson 1 in an online set of materials to introduce Pharmacokinetics and Pharmacodynamics.
absorption
compartment
bloodstream
plasma
pharmacokinetics
drug
pharmacodynamics
Potential Scenario
140
views
80
downloads
0
comments
2017-ASHP-Intro to Pharmacokinetics and Pharmacodynamics
This is the introductory Lesson 1 in an online set of materials to introduce Pharmacokinetics and Pharmacodynamics.
absorption
compartment
bloodstream
plasma
pharmacokinetics
pharmacodynamics
therapeutic concentration range
drug disposition
drug response
Free Online Textbook
210
views
79
downloads
0
comments
2016-Rob_deBoer-Population Dynamics A Graphical Approach
This book is an introduction into modeling population dynamics in ecology. Because there are several good textbooks on this subject, the book needs a novel ecological niche to justify its existence.
mathematical model
stability
competition
SIR
bifurcation
consumption
population population dynamics
general replication
nonlinear density dependencies
functional response
persistence
phase plan analysis
Article or Presentation
284
views
571
downloads
0
comments
2020-Teaching Module-Applying Separation Of Variables
This is one of several Teaching Modules prepare by the Principal Investigates of SIMIODE’s National Science Foundation grant and offered in 2020. The material offered is a complete narrative of how a modeling activity can be offered including...
modules
Ebola
separation of variables
Teaching Modules
Separation
Potential Scenario
216
views
84
downloads
0
comments
2014-XM-Huang-Ordinary Differential Equation Model and its Application in the Prediction Control of Population
In this paper, we study two kinds of ordinary differential equation models, i.e., Malthus model and Logistic model, and discuss their applications in the prediction control of population.
population dynamics
Logistic model
Malthus Model
Population Prediction Control
Potential Scenario
139
views
42
downloads
0
comments
2010-Randy_Boucher-Determining Dissolved Oxygen Levels
This is a full module given to students and the article contains comments for instructors as well.
Environmental Engineering
biochemical oxygen demand
oxygen level
Potential Scenario
200
views
90
downloads
0
comments
1957-Axelrod_ Brady_Witkop_Evarts-The Distribution and Metabolism of Lysergic Acid Diethylamide
The development of a specific and sensitive method for the estimation of LSD in biological materials has enabled us to study the tissue distribution, excretion, rate of biotransformation, and metabolism of the drug, as well as the subcellular...
mathematical model
data
LSD
Metabolism
bloodstream
lysergic acid diethylamide
distribution
Article or Presentation
5854
views
767
downloads
0
comments
2020-TeachingModule-GeometricBehaviorOfLinearSysteModeling
This module concentrates on the geometric properties of a system of 2 linear, homogeneous first order differential equations in 2 variables as dictated by the corresponding eigenvalues. Students should be familiar with using eigenvalues.
module
linear systems
digoxin
Teaching Module
Potential Scenario
203
views
72
downloads
0
comments
2017-GR_Gustafson-Differential Equations Course Materials
There are many applications from compartment and cascade analysis, recycling brine tank, home heating with multiple rooms, chemostat, microbes, heartbeats, lidocaine, nutrient flow in an aquarium, biomass transfer, pesticides, forecasting prices,...
chemostat
microbes
biomass
forecasting
transfer
compartment
pesticides
earthquake
tank
heating
lidocaine
brine
heartbeats
nutrient flow
aquarium
electric networks
circuits
logging
building
cascade
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